Chaotic dynamics of a frequency-modulated microwave oscillator with time-delayed feedback

Published/Posted: January 4, 2013

Authors: Dao, H.; Rodgers, J. C.; Murphy, T. E.

DOI: 10.1063/1.4772970

Abstract: We present a chaotic frequency-modulated microwave source that is governed by a simple, first-order nonlinear delay differential equation. When a sinusoidal nonlinearity is incorporated, the dynamical behaviors range from fixed-point to periodic to chaotic, depending on the feedback strength. When the sinusoidal nonlinearity is replaced by a binary nonlinearity, the system exhibits a complex periodic attractor with no fixed-point solution.

Citation:
H. Dao, J. C. Rodgers and T. E. Murphy, "Chaotic dynamics of a frequency-modulated microwave oscillator with time-delayed feedback", Chaos 23(1) 013101 (2013)
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Manuscript: Dao_Chaos_23_013101_2013.pdf